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McGregor's Instagram story showed a picture of Dee Devlin with Conor Jr on her lap

McGregor has played up the rumours and called Mayweather out, saying: 'I'd do as I pleased against him. But if he does do it, I know he's flirting with it, I would have respect for him. I think it would get his earned respect in.

'If it is just hype it will follow him for the rest of his days. I said I would do it and I stepped in and did it.'

If a Mayweather-McGregor rematch does not come to fruition, however, UFC president Dana White believes a fight against Tony Ferguson or Khabib Nurmagomedov is more likely than completing the trilogy with Nate Diaz.

McGregor has been regularly sharing pictures of him training hard in his Dublin gym

McGregor has played up rumours of a rematch, this time in MMA, with Floyd Mayweather (L)